Table B.4§Future Value of an Annuity of 1
f = [(1 + i)n - 1]/i
| |
Rate |
| Periods |
1% |
2% |
3% |
4% |
5% |
6% |
7% |
8% |
9% |
10% |
12% |
15% |
Periods |
| 1 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1 |
| 2 |
2.0100 |
2.0200 |
2.0300 |
2.0400 |
2.0500 |
2.0600 |
2.0700 |
2.0800 |
2.0900 |
2.1000 |
2.1200 |
2.1500 |
2 |
| 3 |
3.0301 |
3.0604 |
3.0909 |
3.1216 |
3.1525 |
3.1836 |
3.2149 |
3.2464 |
3.2781 |
3.3100 |
3.3744 |
3.4725 |
3 |
| 4 |
4.0604 |
4.1216 |
4.1836 |
4.2465 |
4.3101 |
4.3746 |
4.4399 |
4.5061 |
4.5731 |
4.6410 |
4.7793 |
4.9934 |
4 |
| 5 |
5.1010 |
5.2040 |
5.3091 |
5.4163 |
5.5256 |
5.6371 |
5.7507 |
5.8666 |
5.9847 |
6.1051 |
6.3528 |
6.7424 |
5 |
| 6 |
6.1520 |
6.3081 |
6.4684 |
6.6330 |
6.8019 |
6.9753 |
7.1533 |
7.3359 |
7.5233 |
7.7156 |
8.1152 |
8.7537 |
6 |
| 7 |
7.2135 |
7.4343 |
7.6625 |
7.8983 |
8.1420 |
8.3938 |
8.6540 |
8.9228 |
9.2004 |
9.4872 |
10.0890 |
11.0668 |
7 |
| 8 |
8.2857 |
8.5830 |
8.8923 |
9.2142 |
9.5491 |
9.8975 |
10.2598 |
10.6366 |
11.0285 |
11.4359 |
12.2997 |
13.7268 |
8 |
| 9 |
9.3685 |
9.7546 |
10.1591 |
10.5828 |
11.0266 |
11.4913 |
11.9780 |
12.4876 |
13.0210 |
13.5795 |
14.7757 |
16.7858 |
9 |
| 10 |
10.4622 |
10.9497 |
11.4639 |
12.0061 |
12.5779 |
13.1808 |
13.8164 |
14.4866 |
15.1929 |
15.9374 |
17.5487 |
20.3037 |
10 |
| 11 |
11.5668 |
12.1687 |
12.8078 |
13.4864 |
14.2068 |
14.9716 |
15.7836 |
16.6455 |
17.5603 |
18.5312 |
20.6546 |
24.3493 |
11 |
| 12 |
12.6825 |
13.4121 |
14.1920 |
15.0258 |
15.9171 |
16.8699 |
17.8885 |
18.9771 |
20.1407 |
21.3843 |
24.1331 |
29.0017 |
12 |
| 13 |
13.8093 |
14.6803 |
15.6178 |
16.6268 |
17.7130 |
18.8821 |
20.1406 |
21.4953 |
22.9534 |
24.5227 |
28.0291 |
34.3519 |
13 |
| 14 |
14.9474 |
15.9739 |
17.0863 |
18.2919 |
19.5986 |
21.0151 |
22.5505 |
24.2149 |
26.0192 |
27.9750 |
32.3926 |
40.5047 |
14 |
| 15 |
16.0969 |
17.2934 |
18.5989 |
20.0236 |
21.5786 |
23.2760 |
25.1290 |
27.1521 |
29.3609 |
31.7725 |
37.2797 |
47.5804 |
15 |
| 16 |
17.2579 |
18.6393 |
20.1569 |
21.8245 |
23.6575 |
25.6725 |
27.8881 |
30.3243 |
33.0034 |
35.9497 |
42.7533 |
55.7175 |
16 |
| 17 |
18.4304 |
20.0121 |
21.7616 |
23.6975 |
25.8404 |
28.2129 |
30.8402 |
33.7502 |
36.9737 |
40.5447 |
48.8837 |
65.0751 |
17 |
| 18 |
19.6147 |
21.4123 |
23.4144 |
25.6454 |
28.1324 |
30.9057 |
33.9990 |
37.4502 |
41.3013 |
45.5992 |
55.7497 |
75.8364 |
18 |
| 19 |
20.8109 |
22.8406 |
25.1169 |
27.6712 |
30.5390 |
33.7600 |
37.3790 |
41.4463 |
46.0185 |
51.1591 |
63.4397 |
88.2118 |
19 |
| 20 |
22.0190 |
24.2974 |
26.8704 |
29.7781 |
33.0660 |
36.7856 |
40.9955 |
45.7620 |
51.1601 |
57.2750 |
72.0524 |
102.4436 |
20 |
| 25 |
28.2432 |
32.0303 |
36.4593 |
41.6459 |
47.7271 |
54.8645 |
63.2490 |
73.1059 |
84.7009 |
98.3471 |
133.3339 |
212.7930 |
25 |
| 30 |
34.7849 |
40.5681 |
47.5754 |
56.0849 |
66.4388 |
79.0582 |
94.4608 |
113.2832 |
136.3075 |
164.4940 |
241.3327 |
434.7451 |
30 |
| 35 |
41.6603 |
49.9945 |
60.4621 |
73.6522 |
90.3203 |
111.4348 |
138.2369 |
172.3168 |
215.7108 |
271.0244 |
431.6635 |
881.1702 |
35 |
| 40 |
48.8864 |
60.4020 |
75.4013 |
95.0255 |
120.7998 |
154.7620 |
199.6351 |
259.0565 |
337.8824 |
442.5926 |
767.0914 |
1,779.0903 |
40 |
§Used to calculate the future value of a series of equal payments made at the end of each period. For example: What is the future value of $4,000 per year for 6 years assuming an annual interest rate of 8%? For (n = 6, i = 8%), the FV factor is 7.3359. $4,000 per year for 6 years accumulates to $29,343.60 ($4,000 × 7.3359).